A huer delineation of quadratic u-polynomials than has been previously published is given.
On σ-polynomials
✍ Scribed by Shao-Ji Xu
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 612 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, the properties of o-poiynirnuals and quadratic a-polynomials are discussed. An alternative characterization for a quadratic a-Flynomial to be a u-polynomial of a graph is given. The number of graphs having same quadratic o-polynomial CT* + au + b and the number of quadratic u-polynomials of graphs if a is fixed are given. The ineqwality b s $(a' -5a + 12) which was conjectured in [l] and proved in [4] is improved.
📜 SIMILAR VOLUMES
Du, Q., On o-polynomials and a class of chromatically unique graphs, Discrete Mathematics 115 (1993) 153-165. Let cr(G)=C:,,aicr '-' be the u-polynomial of a graph G. We ask the question: When k and a, are given, what is the largest possible value of ai(O < i < k) for any graph G? In this paper, thi
## Abstract In the set of graphs of order __n__ and chromatic number __k__ the following partial order relation is defined. One says that a graph __G__ is less than a graph __H__ if __c__~__i__~(__G__) ≤ __c__~__i__~(__H__) holds for every __i__, __k__ ≤ __i__ ≤ __n__ and at least one inequality is
Frucht and Giudici classified all graphs having quadratic a-polynomials. Here w e classify all chromatically unique graphs having quadratic (Tpolynomials.